Your server behind the router is not on the Internet, it is on a local net that is not accessible by the Internet. In order to play on it from the internet, you either need to identify the router as your server and port forward all traffic to the server on your internal network or setup tunneling on your laptop to allow it to be a member of your local network from the Internet.
In either case, you want a server to have a fixed IP address, not one assigned randomly by DHCP. How you identify the worldserver address depends on which option you chose above.
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